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Now showing 1 - 7 of 7
  • Article
    Citation - WoS: 10
    Citation - Scopus: 15
    Fixed Points of Generalized Contractive Mappings of Integral Type
    (Springer international Publishing Ag, 2014) Alsulami, Hamed H.; Karapinar, Erdal; O'Regan, Donal; Shahi, Priya
    The aim of this paper is to introduce classes of alpha-admissible generalized contractive type mappings of integral type and to discuss the existence of fixed points for these mappings in complete metric spaces. Our results improve and generalize fixed point results in the literature.
  • Article
    Citation - WoS: 20
    Citation - Scopus: 28
    Some Extensions for Geragthy Type Contractive Mappings
    (Springer international Publishing Ag, 2015) Karapinar, Erdal; Alsulami, Hamed H.; Noorwali, Maha
    In this paper, we establish some fixed point theorems on some extensions of Geragthy contractive type mappings in the context of b-metric-like spaces.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 4
    A Short-Note on 'common Fixed Point Theorems for Non-Compatible Self-Maps in Generalized Metric Spaces'
    (Springer international Publishing Ag, 2015) Roldan-Lopez-de-Hierro, Antonio-Francisco; Karapinar, Erdal; Alsulami, Hamed H.
    The main aim of this short-note is point out that certain hypotheses assumed on some results in the very recent paper (Yang in J. Inequal. Appl. 2014:275, 2014) are unnecessary, and the results contained in that manuscript can easily be improved.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 6
    Fixed Points of Α-Admissible Meir-Keeler Contraction Mappings on Quasi-Metric Spaces
    (Springer international Publishing Ag, 2015) Alsulami, Hamed H.; Gulyaz, Selma; Erhan, Inci M.
    We introduce alpha-admissible Meir-Keller and generalized alpha-admissible Meir-Keller contractions on quasi-metric spaces and discuss the existence of fixed points of such contractions. We apply our results to G-metric spaces and express some fixed point theorems in G-metric spaces as consequences of the results in quasi-metric spaces.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 5
    α-(ψ, φ) Contractive mappings on quasi-partial metric spaces
    (Springer international Publishing Ag, 2015) Karapinar, Erdal; Gholizadeh, Leila; Alsulami, Hamed H.; Noorwali, Maha
    In this paper, we consider alpha- contractive mappings in the setting of quasi-partial metric spaces and verify the existence of a fixed point on such spaces. Moreover, we present some examples and applications in integral equations of our obtained results.
  • Article
    Citation - WoS: 14
    Citation - Scopus: 18
    Some fixed point theorems for (α, ψ)-rational type contractive mappings
    (Springer international Publishing Ag, 2015) Alsulami, Hamed H.; Chandok, Sumit; Taoudi, Mohamed-Aziz; Erhan, Inci M.
    In this paper, we introduce the concept of (alpha, psi)-rational type contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in the setting of generalized metric spaces. We also deduce several interesting corollaries.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 7
    A Note on Fixed Point Results in Complex-Valued Metric Spaces
    (Springer international Publishing Ag, 2015) Al-Mezel, Saleh A.; Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, Farshid
    In this paper, we prove that the fixed point results in the context of complex-valued metric spaces can be obtained as a consequence of corresponding existing results in the literature in the setting of associative metric spaces. In particular, we deduce that any complex metric space is a special case of cone metric spaces with a normal cone.